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Omni-MATH / Find the largest integer n such that 3⁵¹²−1 is divisible by 2^(n).

Problem

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problem

Find the largest integer nn such that 3512−13^{512}-1 is divisible by 2n2^{n}.
Plain-text mathematical notation (without MathML)
Find the largest integer n such that 3⁵¹²−1 is divisible by 2^(n).
Original LaTeX notation
Find the largest integer $n$ such that $3^{512}-1$ is divisible by $2^{n}$.

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